Question

BUILD PERSEVERANCE Find the values of x and y. List your answers in ascending order.

Answer 1

In the parallel lines the value of x will be 155 or 171 and value of y will be 9 or 25.

What are parallel lines?

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions

The angles y²and 8y-15 are alternate angles.

We know that the alternate angles are equal.

So

y²=8y-15

y²-8y+15=0

y²-5y-3y+15

y(y-5)-3(y-5)

(y-3)(y-5)=0

y=3 and y=5

So when y=3, 8(3)-15

24-15=9

So when y=5, 8(5)-15=25

Hence

The sum of angles should be 180

x+(8y-15)=180

x+25=180

x=180-25

x=155

and

x+(8y-15)=180

x+9=180

x=180-9

x=171

Hence value of x will be 155 or 171 and value of y will be 9 or 25.

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